help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Help Meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer 1

Hello!

For a line with slope '0':

⇒ the equation is 'y = y-coordinate of point that the line passes through'

 

Since the line passes through (-1, -4) and has the slope of '0'

y = -4

Hope that helps!


Related Questions

i only need help with 12 & 13 only and show work please. note the picture is sideways​

Answers

Answer:

  12.  65:6 = 65/6 = 65 to 6

  13: 21:4 = 21/4 = 21 to 4

Step-by-step explanation:

You want the numerical values of the given ratios of blood donors written three ways.

In each case, replace the blood type with the corresponding number of donors. Ratios can be written using a colon, a division bar, or the word "to".

12. A+ and B+ to AB+

Using the numbers, this is ...

  (45 +20) : 6 = 65 : 6 = 65/6 = 65 to 6

13. A- and B- to AB-

Using the numbers, this is ...

  (21 +0) : 4 = 21 : 4 = 21/4 = 21 to 4

A manufacturing machine has a 4% defect rate.

If 9 items are chosen at random, what is the probability that at least one will have a defect?

Answers

The probability that at least one will have a defect is 19%.

What is probability?

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula.

p = 4% = 0.04

q = Prob of a defective product is 0.03; hence, Prob(non-defective) = 1 - 0.04 = 0.96.

Prob(at least one flaw) is now equal to 1 - Prob (0 defects)

= 1 - 9C0 x 0.04^0 x 0.96^9

= 1 - 1 x 1 x 0.815

= 0.19 or 19%

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In the figure above, if k II I, what is the value of y?
B. 45
C. 50
A. 40
D. 60

Answers

The values of measure of angle y is found as 65 degrees.

What is defined as the linear pair?Once two lines intersect at a single point, a linear pair of angles is formed. If the angles are adjacent to one another after the two lines intersect, they are said to be linear. The sum of the angles of a linear pair has always been 180°. These angles are also referred to as supplementary angles. A adjacent angles are those that share a vertex. As a result, the linear angles get a common vertex here as well.

For the given question;

Line k || Line l

(x + 5) + (3x + 15) = 180  (linear pair)

Solving;

4x + 20 = 180

4x = 160

x = 40

Put the value of x in angles (2x + 30)

2x + 30 = 2×40 + 30 = 110

Now,

2x + 30 = y + (x + 5)   (alternate interior angles)

Solving;

110 = y + 40 + 5

y = 110 - 45

y = 65 degrees.

Thus, the values of measure of angle y is found as 65 degrees.

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Royal Furniture bought a sofa for $820. The sofa had a $1,420 list price. What was the trade discount rate Royal received? (Round your answer to the nearest hundredth percent.)

Answers

The received trade discount amount is $600 and percentage is 42.25%.

The trade discount in amount is = Original price - New price

Keep the values in formula to find the trade discount

The trade discount in amount is = 1420 - 820

Performing subtraction on Right Hand Side of the equation

The trade discount amount is = $600

Finding the trade discount in percentage

Trade discount in percentage = discount ÷ original price × 100

Keep the values in formula to find the trade discount in percentage

Trade discount in percentage = (600/1420)× 100

Performing multiplication and division

Trade discount in percentage = 42.25%

The trade discount is $600 and 42.25%.

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Write the exponential function y - 45(1.085)^t in the form y = ae^kt(a) Once you have rewritten the tormula, give & accurate to at least four decimal places.K=If T is measured in years, indicate whether the exponential function is growing or decaying and find he annual and continuous growth/decay rates. The rates you determine should be positive in the case of growth or decay (by choosing decay the negative rate is implied).(b) The annual (growth/decay) rate is ___ % per yearC) The continuous (growth/decay) rate is ___ % per year

Answers

EXPLANATION

Given the exponential function:

45(1.085)^t

We have that 45=a is the initial value and 1.085 is the growth rate,

1.085 - 1 = 0.085* 100 = 8.5 % (This is the growth rate)

Let's compute the function with two values of t, as for instance, t=0 and t=1:

[tex]f(0)=45(1.085)^0=45\cdot1=45\longrightarrow\text{ (0,45)}[/tex][tex]f(1)=45\cdot(1.085)^1=48.825\text{ }\longrightarrow\text{(1,48.825)}[/tex]

Now, the function in the form y = ae^kt will be as follows:

[tex]y=45\cdot e^{kt}[/tex]

Substituting t by 1:

[tex]y(1)=45\cdot e^k=48.825[/tex]

Dividing both sides by 45:

[tex]e^k=\frac{48.825}{45}=1.085[/tex]

Applying ln to both sides:

[tex]k=\ln 1.085[/tex]

Computing the argument:

[tex]k=0.0816[/tex]

The expression will be as follows:

[tex](a)---\longrightarrow y=45e^{0.0816t}[/tex]

As this is a growing function, the rates are positive.

The annual growth rate is 8.5% and It's was calculated above.

Now, we need to compute the continuous rate because It's given by the value of k:

k = 0.0816 --> Multiplying by 100 --> 0.0816 * 100 = 8.16%

The continuous growth rate is 8.16%

Helppppp please !!!

Answers

Both sides of the coordinate plane are both clearly different from each other.

The left side of the coordinate plane has the coordinates, -3:3, -4:1, -2:-1, and -2:2.

To be more specific, the coordinates above are in order ABCD.

The right side is also in order of ABCD. 3:2,0:4, 2:-2, and 2:1. Both sides are both very different from each other, in other words, the right side is lower then the left. :)

Hope this helps!

What is a rule for the nth term of Geometric sequence -3,-6,-12,-24,-48

Answers

The sequence is given as,

[tex]-3,\text{ -6, -12, -24, -48.......}[/tex]

For the given sequence,

[tex]\begin{gathered} First\text{ term\lparen a\rparen = -3} \\ Common\text{ ratio\lparen r\rparen = }\frac{-6}{-3}=\text{ 2} \end{gathered}[/tex]

nth term of a geometric progression is given as,

[tex]a_n\text{ = ar}^{n-1}[/tex]

Where,

a = First term

r = common ratio

Therefore the nth term is calculated as,

[tex]a_n=\text{ -3\lparen2\rparen}^{n-1}[/tex]

Thus the required answer is,

[tex]a_n=\text{ -3\lparen2\rparen}^{n-1}[/tex]

Find the average rate of change of f(x)=x²-4x+1 from x=3 to x=7.
Simplify your answer as much as possible.


( explain pls )

Answers

At x=3 to x=7, the average rate of change of the given function

f(x) = x2- 4x + 1 is 6.

Solution:

Given function,

    f(x) = x² - 4x + 1

given x=3 and x=7

To find the average rate of change of a function, find its slope(m),

To find m ,

               m= (y2 - y1) / (x2 - x1)

here y1 and y2 not given.

then substitute the given values of x into f. (x)

when x=3 ,

          y1 = (3² - 4×3 +1)

              = (9 - 12 +1)

              =  -2

so (x1,y1) = (3,-2)

similarly to find y2,

substitute x = 7 to f(x)

            y2 = (7² - 4×7 + 1)

                 = (49 - 28 +1)

                 = 22

so (x2,y2) = (7,22)

To find m, substitute the values.

  m= (y2 - y1) / (x2 - x1)

            = (22 -( - 2)) / (7 - 3)

           = 24/4

           = 6

As a result, the average rate of change of the function x2-4x + 1 is 6.

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The Pederson family needed to cut expenses on their cell and landline phone service, cable television service, and Internet service. The best prices they found for basicservice, using different service providers, are listed below. They found a company with a package deal with all 4 services for $143.66. What is the percentage decrease bypurchasing the package deal? Cell Phone Service: $34.15 per month Landline Phone Service: $31.36 per month Cable TV Service: $56.25 per month Internet Service:$41.48 per month9.7%10.9%11.4%12.0%None of these choices are correct.

Answers

From the information given, the original costs per month were

Cell phone service $34.15

Landline phone service = $31.36

Cable TV service = $56.25

Internet service = 41.48

The total cost per month would be

34.15 + 31.36 + 56.25 + 41.48 = 163.24

For the new company that they found, the total cost is $1431


3. How many tens are there between 9,312 and 9,522? Explain your thinking

Answers

The number of tens between the given numbers are 1883.

The number of tens between two numbers can be calculated by the concept of proportions. A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem. Now, to find the number of tens we divide the number by 10. So, the number of tens in the given numbers are

9312/10 = 931 (approximately)

9522/10 = 952 (approximately).

Now, the numbers of tens between the two given numbers can be calculated by adding the number of tens in them that is,

952 + 931 = 1883 tens between the two numbers.

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Your grandmother was in the hospital and was put on a liquid diet. After examining her chart, a mistake was found stating that her weight was 500 kg. The dietician decided my grandma weighed too much and put her on a liquid diet. How much did they believe that she weighed in pounds? (Show all work using dimension analysis, round to nearest whole pound)

Answers

Your grandmother was in the hospital and was put on a liquid diet. The approximate weight of grama in pounds is 1100 pounds

This is further explained below.

What is the conversion?

Generally, Simply rephrasing the query as "what is the equivalent of 500 kg in Pounds" will accomplish the same thing.

In order to do this, we need to know how many kilograms are in one pound: It weighs something about 2.2 pounds.

Therefore, one hundred and ten kilograms is equal to five hundred and two point two pounds (and a little more since one kg is a little more than 2.2 pounds).

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1 5/6+1 3/6 pls help

Answers

Answer:

10/3

Step-by-step explanation:

[tex]1\frac{5}{6} = \frac{11}{6}\\ \\\ 1\frac{3}{6} = \frac{9}{6}[/tex]

11/6 + 9/6 = 10/3 =3.333333333

A machine at the candy factory dispensed different numbers of lemon-flavored candies into various bags. Number of lemon-flavored candies Number of bags 29 1 69 4 108 5 4 118 5 162 4 167 2 186 X is the number of lemon-flavored candies that a randomly chosen bag had. What is the expected va of X? Write your answer as a decimal.

Answers

In order to calculate the expected value of x, we just need to divide the total number of lemon-flavored candies by the total number of bags, so we have:

[tex]\begin{gathered} E(x)=\frac{29\cdot1+69\cdot4+108\cdot5+118\cdot4+162\cdot5+167\cdot4+186\cdot2}{1+4+5+4+5+4+2} \\ E(x)=\frac{3167}{25} \\ E(x)=126.68 \end{gathered}[/tex]

So the expected value of x is 126.68.

The variable cost for a product is $1.00 and the total fixed costs are $88,000. The company sells the products for $3.00 each. How many products will the company have to sell to break even?

Answers

The breakevenpoint is the point at which costs and sales are equal to each other and therefore, the profit is zero.

The breakeven point in terms of number of units sold can be determined as follows;

[tex]\begin{gathered} Breakeven\text{ units=}\frac{Fixed\text{ costs}}{\text{ Selling price per unit-}Variable\text{ cost per unit}} \\ \text{Breakeven units=}\frac{88000}{3-1} \\ \text{Breakeven units=}\frac{88000}{2} \\ \text{Breakeven units=44000} \end{gathered}[/tex]

In order to breakeven, the company will have to sell 44,000 units

Which inequality is equivalent to this one?y-85-2y-8+82-2+ 8y-8+8 <-2+8y-8+25-2+8y-8+25-2+2

Answers

[tex]y=-6[/tex]

Explanation

[tex]y+8=2[/tex]

solve for y :

The subtraction property of equality tells us that if we subtract from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same

hence,

subtract 8 in both sides

[tex]\begin{gathered} y+8=2 \\ y+8-8=2-8 \\ y=-6 \end{gathered}[/tex]

so, the answer is

y=-6

I hope this helps you

HELP ASAP I NEED ANSWER NOWW IT'S MISSING PLEASE HELP 50 POINTS

Answers

Answer:

Step-by-step explanation:

h = number of hours

s = number of shirts made

28h+2s=144

4h=s

h=4, s=16

(Didn't I already answer this? i think i might have.. lol)

help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

55.17

Step-by-step explanation:

[tex]P(0)=0.023(0)^3-0.289(0)^2+3.068(0)+55.170=55.17[/tex]

​(d) Find the domain of function R. Choose the correct domain below.

Answers

Answer:

d

Step-by-step explanation:

The number of years must be non-negative.

This eliminates all of the options except for d.

Consider the parabola given by the equation:
f
(
x
)
=

2
x
2

12
x

9


Find the following for this parabola:

A) The vertex:


B) The vertical intercept is the point


C) Find the coordinates of the two
x
intercepts of the parabola and write them as a list of points of form (x, y) separated by commas:

It is OK to round your value(s) to to two decimal places.

Answers

The features of the given parabola are as follows:

a) Vertex: (3,9).

b) Vertical intercept: y = -9.

c) x-intercepts: (-5.12, 0) and (-0.88, 0).

Features of the quadratic function

The equation of the parabola is given by:

f(x) = -2x² - 12x - 9.

Hence the coefficients are:

a = -2, b = -12, c = -9.

The formula for the coordinates of the vertex, considering the coefficients of a quadratic equation, is given as follows:

x = -b/2a.y = -(b² - 4ac)/(4a).

The coordinates of the vertex are given as follows:

[tex]x_v = -\frac{-12}{2(-4)} = -3[/tex]

[tex]y_v = -\frac{(-12)^2 - 4(-2)(-9)}{4(-2)} = 9[/tex]

Hence (3,9).

The vertical intercept is given as follows:

f(0) = -2(0)² - 12(0) - 9 = -9.

The roots are given as follows:

[tex]x_{1} = \frac{-b + \sqrt{b^2 - 4ac}}{2a} = \frac{12 + \sqrt{(-12)^2 - 4(-2)(-9)}}{2(-2)} = -5.12[/tex][tex]x_{2} = \frac{-b - \sqrt{b^2 - 4ac}}{2a} = \frac{12 - \sqrt{(-12)^2 - 4(-2)(-9)}}{2(-2)} = -0.88[/tex]

Hence the points are:

(-5.12, 0) and (-0.88, 0).

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HELP ASAP 100 POINTS!!!!!!!!!
The points (6,2) and (10,4) fall on a particular line. What is its equation in point-slope form?
Use one of the specified points in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.

Answers

Answer:

[tex]y-2=\dfrac{1}{2}(x-6)[/tex]

Step-by-step explanation:

To find the equation of a line that passes through two given points, first find its slope by substituting the given points into the slope formula.

[tex]\boxed{\begin{minipage}{4.4cm}\underline{Slope Formula}\\\\Slope $(m)=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ \\are two points on the line.\\\end{minipage}}[/tex]

Define the points:

(x₁, y₁) = (6, 2)(x₂, y₂) = (10, 4)

Substitute the points into the slope formula:

[tex]\implies m=\dfrac{4-2}{10-6}=\dfrac{2}{4}=\dfrac{1}{2}[/tex]

Therefore, the slope of the line is ¹/₂.

[tex]\boxed{\begin{minipage}{5.8 cm}\underline{Point-slope form of a linear equation}\\\\$y-y_1=m(x-x_1)$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $(x_1,y_1)$ is a point on the line.\\\end{minipage}}[/tex]

To find the equation in point-slope form, substitute the found slope and one of the given points into the point-slope formula:

[tex]\implies y-2=\dfrac{1}{2}(x-6)[/tex]

1) Movie Checkout for the week Days 2 3 4 A. 10 How many movies were checked out on Day 1? Number of Movies 30 45 60 C. 20 B. 15 D. 25​

Answers

B. 15 because this is a ratio box
15 movies.

Subtract day 4 from day 3 and you get 15
Subtract day 3 from day 2 and you get 15

Every day fifteen more movies are sold that the last, so to find the first you would need to subtract day 2 by 15

30 - 15 = 15

This would only work if the graph is proportional, meaning the increase or decrease is the same for every day.

I have a question for quantitative reasoning. Alcohol use by high school seniors in a certain state decreased from 50.3% in 2000 to 32.7% in 2015. Describe this change as an absolute change in terms of percentage points and as a relative change in terms of a percentage.

Answers

The of senior high school students who reported consuming alcohol  is mathematically given as

33.99% of

This is further explained below.

What percentage of senior high school students report consuming?

Absolute change is the straightforward difference between the indicator's two time periods.

Absolute change = final value - initial value

Absolute change =(33 *1-50.3)% points

=-17.2% points

Decrease absolute change $=17.2% point

- ve hours decreased

+ve shows increased

The percentage of high school seniors using alcohol decreased by 17.2%. point

Relative change expresses absolute change as the ax of the value in the initial period

[tex]$=\frac{\text { absolute change }}{\text { intial value }} \times 100$$=\frac{33.1-50.3}{50.3} \times 100$[/tex]

=-33.99 %

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The rent in an urban neighborhood is normally distributed. The mean is $650 per month with a standarddeviation of $50. Estimate the percent of apartment residents who pay from $600 to $750 per month.Show Your Work

Answers

Solution

The z-score, also referred to as standard score, z-value, and normal score, among other things, is a dimensionless quantity that is used to indicate the signed, fractional, number of standard deviations by which an event is above the mean value being measured. Values above the mean have positive z-scores, while values below the mean have negative z-scores.

Mean is $650

Standard deviation = $50

[tex]\begin{gathered} \mu=650 \\ \sigma=50 \end{gathered}[/tex][tex]Z=\frac{x-\mu}{\sigma}=\frac{600-650}{50}=-\frac{50}{50}=-1[/tex][tex]Z=\frac{x-\mu}{\sigma}=\frac{750-650}{50}=\frac{100}{50}=2[/tex]

[tex]P(-1

Therefore the estimated percent of apartment residents = 81.86%

Find the intercepts (if an answer does not exist enter DNE) be sure to graph the line as well

Answers

Question:

Solution:

x-intercept:

the x-intercept is when y= 0. Thus replacing this value into the given equation we get:

[tex]15x+10(0)\text{ = 30}[/tex]

this is equivalent to:

[tex]15x+0\text{= 30}[/tex]

this is equivalent to:

[tex]15x\text{ = 30}[/tex]

solving for x, we get:

[tex]x\text{ = }\frac{30}{15}\text{ = 2}[/tex]

so the point of x-interception is :

[tex](x,y)\text{ = (2,0)}[/tex]

y-intercept:

the y-intercept is when x= 0. Thus replacing this value into the given equation we get:

[tex]15(0)+10y=30[/tex]

this is equivalent to:

[tex]0\text{ + 10y = 30}[/tex]

this is equivalent to:

[tex]10y\text{ = 30}[/tex]

solving for y, we get:

[tex]y\text{ = }\frac{30}{10}=\text{ 3}[/tex]

so the point of y-interception is :

[tex](x,y)\text{ = (0,3)}[/tex]

We can conclude that the correct answer is:

x-intercept :

[tex](x,y)\text{ = (2,0)}[/tex]

y-intercept is :

[tex](x,y)\text{ = (0,3)}[/tex]

Condense the left-hand side into a single logarithm.log(4) + log(2) + log(y) = log(____)

Answers

Condensation of left-hand side of the given expression into a single logarithm is :log(4) + log(2) + log(y) = log(8y)

How to condense log?

To evaluate logarithmic expressions, methods for condensing logarithms in order to rewrite multiple logarithmic terms into one can be used. it is a useful tool for the simplification of logarithmic terms. To condense logarithms we use the rules of logarithms: the product rule, the quotient rule and the power rule.

According to the product laws of logarithm,

log x+log y = log (xy)

For the given expression,

log(4) + log(2) + log(y) = log(____)

So, after applying the product rule:

log(4) + log(2) + log(y) = log(4×2×y)

log(4) + log(2) + log(y) = log(8y)

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Please Answer the following 2 questions asked in the image provided, Asap.

Answers

1 Fristly you do M1=M2 as it is parallel

You get M2 then use it to find equation

note that y= -1.5

2 for second question you find coefficient of X and y you get M1 then find equation of given line easily.

#note equaction of straight line passing through two points is y-y1=m(x-x1)

(a) Give a secant line.(b) Give a chord.(c) Give a tangent line.

Answers

Solution

Secant is a line that touches a circle at two distinct points

See figure below

Chord is a straight line that touches two points on the the circumference of the circle

A

For each relation, decide whether or not it is a function.

Answers

Relation 1: No, the inputs of desk and leaf each correspond to two different outputs.

Relation 2: No, the input of 7 corresponds to three different outputs.

Relation 3: Yes, each input corresponds to only one output.

Relation 4: No, the input of -7 corresponds to two different outputs: a and h.

Which situation yields data with variability?The distance covered by different vehicles traveling at a constant rate of 60 mph for 45 minutes The length of different professional American football fieldsThe weight of 6th grade studentsThe moon cycle duration in a year

Answers

Answer:

The weight of 6th-grade students

Explanation:

We have variability if each value in the data is different.

When a vehicle travels at a constant rate for the same amount of time, the distance covered will be always the same. So, this situation doesn't yield data with variability.

In the same way, the length of a professional American football field and the moon cycle duration in a year are standard, they always have the same value so these situations don't yield data with variability.

Finally, each student of 6th grade has a different weight, so this is the situation that yields data with variability.

Therefore, the answer is:

The weight of 6th-grade students

A box contains different-colored marbles. If P(blue) = P(green) = and P(blue and green) = whic
statement is true?
O The events are independent because P(blue) P(green) = P(blue and green).

Answers

Answer:

p(blue and green)

Step-by-step explanation:

the events are independent because p(blue) p(green)=p(blue and green).

Other Questions
Which angle relationships are correct? Check all that apply.1 and 8 are alternate exterior angles.4 and 6 are same side interior angles.5 and 7 are vertical angles.2 and 8 are corresponding angles.3 and 6 are alternate interior angles. What is the volume of a 10% m/v aqueous solution that contains 37.8g of HN03? president william howard taft vigorously opposed the sixteenth amendment to the constitution, which authorized congress to repeal all taxation on the wealthy. The area of the entire figure below is 1 square unit.What is the area of the stripped rectangle?? I WILL MARK BRAINLIEST!! What does y equal in the solution of the system below:x/2 + y/3 = 1 x/5 + y/2 = 1A. 2/11B. 42/19C. 18/11D. 2/19Please work it out/explain!!! 1. Without what a car's tires would have nothing to grip.A. frictionB. accelerationC. velocityD. speed can someone please help me You are a presidential candidate developing your campaignCome up with a slogan and tell me 3 propaganda techniques that you will use on the campaign trail, and describe how you will use them to get into office. The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 23 fl oz per hour. How fast was the pipe leaking in gallons per day why is Canada's system called a parliamentary democracy? Arrange events in the section in the order they occur: Mildred invites her friend over to watch White clown, The hound come sniffing around the door while Mildred are reading books, Faber gives montag hos modified seashell radio, Montag has a breakdown on public transportation due to not being able to get the sound of advertisements out of his head. HELP ME PLEASE AND HURRY :[ From a lamp post four feet away from her, Sandra looks up to the sky and sees a bird that is five feet away from her. How high up is the bird? Show all of your steps in answering the question Easton is a songwriter who collects royalties on his songs whenever they are played in a commercial or a movie. easton will earn $40 every time one of his songs is played in a commercial and he will earn $110 every time one of his songs is played in a movie. easton's songs were played on 6 more commercials than movies, and his total earnings on the royalties from all commercials and movies was $840. determine the number of commercials and the number of movies on which easton's songs were played. What is the slope y = 8x - 15 Downhill ski racing requires the racer to maintain the tuck position for over a minute while they are going extremely fast therefore the muscle fibers recruited must not fatigue easily or the scare could be severely injured which type of muscle fiber is predominantly recruited during downhill ski racing? men versus women: the average 20- to 29-year-old man is 69.9 inches tall, with a standard deviation of 3.0 inches, while the average 20- to 29-year-old woman is 64.1 inches tall, with standard deviation of 3.8 inches. a. find the z scores for a 67-inch- man and a 62-inch woman. Angelo's kayak travels 10km/h in still water. If the river's current flows at a rate of 4km/h, How long will it take to travel 35km downstream? it'll take [____] hours. ANALYZE CRAFT AND STRUCTURE REASONING AND EVIDENCEA. DIRECTIONS: Read the passage below. Then, answer the questions that follow.Our town's Shade Tree Commission is responsible for the care and maintenance oftrees growing on town property, including parks and recreational areas. The Commissionalso supposedly reviews and approves plantings around new construction and overseestree removal at building sites. Something is going wrong, though. The trees aredisappearing. Our town, once characterized by beautiful greenery, is beginning to looklike a wasteland-all for the sake of commerce.A new shopping area was just built on a wooded lot. The shade trees on the town'sright-of-way should have been preserved. Instead, all 57 trees on the lot were takendown. The Shade Tree Commission demanded that the developer be fined and newtrees be planted along the right-of-way. But perhaps the Commission should have paidattention in the first place! Our town is known for its tree-lined streets and park-likeproperties. Should we sit idly by while commerce is allowed to blight the landscape?1. What is the writer's claim in this argument?2. What is one piece of evidence supporting the writer's claim? In the sale room at a store, every item is on sale for half the original price, plus 3 dollars. Complete parts a through d. (a) Write a function g(x) that finds half of x. (b) Write a function f(x) that adds 3 to x. (c) Write and simplify the function (f o g)(x). (d) Use the function from part (c) to find the sale price of a shirt at the store that has the original price $60 Graph the following set of points: A B C (1,3), (-3, -3), (5,2). Find the area and perimeter of ABC . Leave answer in two decimal places. suppose m